The equations describing the relative dynamics was established by using a modified polar coordinate. The capture region of the typical guidance law for intercepting the hypersonic target was derived, and the optimal intercept geometry which is the zero effort miss steering was derived. The missile speed, the missile height, the characteristics of seeker and terminal capture region were analyzed. Then, the influence factors, application, features of handover window and calculation flow were analyzed. Taking the pure proportional navigation guidance law as an example, the mid-course and terminal guidance handover window and the zero effort interception handover region were described quantitatively. Finally a simulation was performed to verify the feasibility of the handover window.